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23380056 = 233372472
BaseRepresentation
bin101100100110…
…0000001011000
31121222211102000
41121030001120
521441130211
62153041000
7402504300
oct131140130
947884360
1023380056
1112219867
1279b6160
134ac7a6b
143168600
1520bc656
hex164c058

23380056 has 144 divisors (see below), whose sum is σ = 77189400. Its totient is φ = 6537888.

The previous prime is 23379997. The next prime is 23380057. The reversal of 23380056 is 65008332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23380057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 497425 + ... + 497471.

Almost surely, 223380056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23380056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38594700).

23380056 is an abundant number, since it is smaller than the sum of its proper divisors (53809344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23380056 is a wasteful number, since it uses less digits than its factorization.

23380056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23380056 is about 4835.2927522540. The cubic root of 23380056 is about 285.9445668235.

Adding to 23380056 its reverse (65008332), we get a palindrome (88388388).

The spelling of 23380056 in words is "twenty-three million, three hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 49 54 56 63 72 84 94 98 108 126 141 147 168 188 189 196 216 252 282 294 329 376 378 392 423 441 504 564 588 658 756 846 882 987 1128 1176 1269 1316 1323 1512 1692 1764 1974 2209 2303 2538 2632 2646 2961 3384 3528 3948 4418 4606 5076 5292 5922 6627 6909 7896 8836 8883 9212 10152 10584 11844 13254 13818 15463 17672 17766 18424 19881 20727 23688 26508 27636 30926 35532 39762 41454 46389 53016 55272 59643 61852 62181 71064 79524 82908 92778 108241 119286 123704 124362 139167 159048 165816 185556 216482 238572 248724 278334 324723 371112 417501 432964 477144 497448 556668 649446 835002 865928 974169 1113336 1298892 1670004 1948338 2597784 2922507 3340008 3896676 5845014 7793352 11690028 23380056